{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 北京二手房房价分析与预测\n",
    "\n",
    "作者：xiaoyu\n",
    "\n",
    "时间：2018.4.11\n",
    "\n",
    "### 项目简介\n",
    "本项目根据个人需求进行北京二手房信息的数据分析，通过数据分析观察住房特征规律，利用机器学习模型进行简单的预测。\n",
    "### 数据源\n",
    "通过爬虫爬取第三方房屋中间商网站（链家和安居客）获取数据源，仅供学习使用。\n",
    ">注：爬虫源代码见`spiders`文件夹。\n",
    "\n",
    "### 目的\n",
    "北京房价是最受关注的话题。因此，本项目以研究北京二手房房价为目的，对二手房房价进行数据分析，并希望能对未来房价进行预测（仅供参考）。\n",
    "- 统计北京各区域二手房房价情况\n",
    "- 统计北京各区域二手房数量\n",
    "- 统计西城区、东城区和海淀区各地方二手房房价\n",
    "- 统计房价与房屋面积区段的房屋数量\n",
    "- 预测北京二手房房价\n",
    "\n",
    "### 技术和工具\n",
    "本项目以Python语言编程完成从爬取，数据分析，到预测。\n",
    "\n",
    "- 爬虫工具：`scrapy` ，`beautifulsoup`\n",
    "- 数据分析：`pandas`，`numpy`，`matplolib`\n",
    "- 机器学习：`sklearn`\n",
    "\n",
    "\n",
    "## 1. 数据导入和清洗\n",
    "\n",
    "### 导入链家数据集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Direction</th>\n",
       "      <th>District</th>\n",
       "      <th>Elevator</th>\n",
       "      <th>Floor</th>\n",
       "      <th>Garden</th>\n",
       "      <th>Id</th>\n",
       "      <th>Layout</th>\n",
       "      <th>Price</th>\n",
       "      <th>Region</th>\n",
       "      <th>Renovation</th>\n",
       "      <th>Size</th>\n",
       "      <th>Year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>东西</td>\n",
       "      <td>灯市口</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6</td>\n",
       "      <td>锡拉胡同21号院</td>\n",
       "      <td>101102647043</td>\n",
       "      <td>3室1厅</td>\n",
       "      <td>780.0</td>\n",
       "      <td>东城</td>\n",
       "      <td>精装</td>\n",
       "      <td>75.0</td>\n",
       "      <td>1988</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>南北</td>\n",
       "      <td>东单</td>\n",
       "      <td>无电梯</td>\n",
       "      <td>6</td>\n",
       "      <td>东华门大街</td>\n",
       "      <td>101102650978</td>\n",
       "      <td>2室1厅</td>\n",
       "      <td>705.0</td>\n",
       "      <td>东城</td>\n",
       "      <td>精装</td>\n",
       "      <td>60.0</td>\n",
       "      <td>1988</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>南西</td>\n",
       "      <td>崇文门</td>\n",
       "      <td>有电梯</td>\n",
       "      <td>16</td>\n",
       "      <td>新世界中心</td>\n",
       "      <td>101102672743</td>\n",
       "      <td>3室1厅</td>\n",
       "      <td>1400.0</td>\n",
       "      <td>东城</td>\n",
       "      <td>其他</td>\n",
       "      <td>210.0</td>\n",
       "      <td>1996</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>南</td>\n",
       "      <td>崇文门</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7</td>\n",
       "      <td>兴隆都市馨园</td>\n",
       "      <td>101102577410</td>\n",
       "      <td>1室1厅</td>\n",
       "      <td>420.0</td>\n",
       "      <td>东城</td>\n",
       "      <td>精装</td>\n",
       "      <td>39.0</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>南</td>\n",
       "      <td>陶然亭</td>\n",
       "      <td>有电梯</td>\n",
       "      <td>19</td>\n",
       "      <td>中海紫御公馆</td>\n",
       "      <td>101102574696</td>\n",
       "      <td>2室2厅</td>\n",
       "      <td>998.0</td>\n",
       "      <td>东城</td>\n",
       "      <td>精装</td>\n",
       "      <td>90.0</td>\n",
       "      <td>2010</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Direction District Elevator  Floor    Garden            Id Layout   Price  \\\n",
       "0        东西      灯市口      NaN      6  锡拉胡同21号院  101102647043   3室1厅   780.0   \n",
       "1        南北       东单      无电梯      6     东华门大街  101102650978   2室1厅   705.0   \n",
       "2        南西      崇文门      有电梯     16     新世界中心  101102672743   3室1厅  1400.0   \n",
       "3         南      崇文门      NaN      7    兴隆都市馨园  101102577410   1室1厅   420.0   \n",
       "4         南      陶然亭      有电梯     19    中海紫御公馆  101102574696   2室2厅   998.0   \n",
       "\n",
       "  Region Renovation   Size  Year  \n",
       "0     东城         精装   75.0  1988  \n",
       "1     东城         精装   60.0  1988  \n",
       "2     东城         其他  210.0  1996  \n",
       "3     东城         精装   39.0  2004  \n",
       "4     东城         精装   90.0  2010  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "链家数据集总数量为: 23677\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from IPython.display import display\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 检查你的Python版本\n",
    "from sys import version_info\n",
    "if version_info.major != 3:\n",
    "    raise Exception('请使用Python 3 来完成此项目')\n",
    "    \n",
    "%matplotlib inline\n",
    "\n",
    "# 导入链家二手房数据\n",
    "lianjia_df = pd.read_csv('lianjia.csv')\n",
    "display(lianjia_df.head())\n",
    "\n",
    "# 删除没用的列,为了与安居客数据合并\n",
    "to_drop = ['Id', 'Direction', 'Elevator', 'Renovation']\n",
    "lianjia_df_clean = lianjia_df.drop(to_drop, axis=1)\n",
    "\n",
    "# 重新摆放列位置\n",
    "columns = ['Region', 'District', 'Garden', 'Layout', 'Floor', 'Year', 'Size', 'Price']\n",
    "lianjia_df_clean = pd.DataFrame(lianjia_df_clean, columns = columns)\n",
    "\n",
    "lianjia_total_num = lianjia_df_clean['Floor'].count()\n",
    "print('链家数据集总数量为: ' + str(lianjia_total_num))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 导入安居客数据集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Floor</th>\n",
       "      <th>Garden</th>\n",
       "      <th>Layout</th>\n",
       "      <th>Price</th>\n",
       "      <th>Region</th>\n",
       "      <th>Size</th>\n",
       "      <th>Year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>25</td>\n",
       "      <td>兴达公寓</td>\n",
       "      <td>2室2厅</td>\n",
       "      <td>107.0</td>\n",
       "      <td>通州-马驹桥-科</td>\n",
       "      <td>76</td>\n",
       "      <td>2017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>13</td>\n",
       "      <td>中铁华侨城和园</td>\n",
       "      <td>4室2厅</td>\n",
       "      <td>750.0</td>\n",
       "      <td>大兴-瀛海镇-公</td>\n",
       "      <td>136</td>\n",
       "      <td>2017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>6</td>\n",
       "      <td>北营房小区</td>\n",
       "      <td>3室1厅</td>\n",
       "      <td>600.0</td>\n",
       "      <td>西城-阜成门-北</td>\n",
       "      <td>66</td>\n",
       "      <td>1988</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>22</td>\n",
       "      <td>首开璞瑅</td>\n",
       "      <td>3室2厅</td>\n",
       "      <td>698.0</td>\n",
       "      <td>丰台-方庄-方</td>\n",
       "      <td>102</td>\n",
       "      <td>2017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3</td>\n",
       "      <td>丽京花园</td>\n",
       "      <td>2室2厅</td>\n",
       "      <td>613.0</td>\n",
       "      <td>顺义-天竺-首</td>\n",
       "      <td>153</td>\n",
       "      <td>1999</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Floor   Garden Layout  Price    Region  Size  Year\n",
       "0     25     兴达公寓   2室2厅  107.0  通州-马驹桥-科    76  2017\n",
       "1     13  中铁华侨城和园   4室2厅  750.0  大兴-瀛海镇-公   136  2017\n",
       "2      6    北营房小区   3室1厅  600.0  西城-阜成门-北    66  1988\n",
       "3     22     首开璞瑅   3室2厅  698.0   丰台-方庄-方   102  2017\n",
       "4      3     丽京花园   2室2厅  613.0   顺义-天竺-首   153  1999"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "安居客数据集总数量为: 3000\n"
     ]
    }
   ],
   "source": [
    "# 导入安居客二手房数据\n",
    "anjuke_df = pd.read_csv('anjuke.csv')\n",
    "display(anjuke_df.head())\n",
    "#清洗数据，重新摆放列位置\n",
    "anjuke_df['District'] = anjuke_df['Region'].str.extract(r'.+?-(.+?)-.+?', expand=False)\n",
    "anjuke_df['Region'] = anjuke_df['Region'].str.extract(r'(.+?)-.+?', expand = False)\n",
    "anjuke_df = pd.DataFrame(anjuke_df, columns = ['Region', 'District', 'Garden', 'Layout',\n",
    "                                               'Floor', 'Year', 'Size', 'Price'])\n",
    "\n",
    "anjuke_total_num = anjuke_df['Floor'].count()\n",
    "print('安居客数据集总数量为: ' + str(anjuke_total_num))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 数据集合并"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "合并后数据集总数量为: 26677\n",
      "去重后数据集总数量为: 24281\n",
      "清除重复数据量为：2396\n"
     ]
    }
   ],
   "source": [
    "# 将链家数据集与安居客数据集合并\n",
    "df = pd.merge(lianjia_df_clean, anjuke_df, how='outer')\n",
    "df['PriceMs'] = df['Price']/df['Size']\n",
    "\n",
    "# 对汇总数据再次清洗\n",
    "df.dropna(how='any')\n",
    "df.drop_duplicates(keep='first', inplace=True)\n",
    "# 一些别墅的房屋单价有异常，删选价格少于25万一平的\n",
    "df = df.loc[df['PriceMs']<25]\n",
    "\n",
    "total_num = anjuke_total_num + lianjia_total_num\n",
    "df_num = df['Floor'].count()\n",
    "drop_num = total_num - df_num\n",
    "\n",
    "print('合并后数据集总数量为: ' + str(total_num))\n",
    "print('去重后数据集总数量为: ' + str(df_num))\n",
    "print('清除重复数据量为：' + str(drop_num))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.数据可视化分析\n",
    "\n",
    "### 北京各区域二手房房价均值对比 & 二手房数量对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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R67dUa0xJkiRJkiStW1ULNtWJMfYGrgJOLjObJEmSJEmS1EVVJNgUY+wODAfu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9zhhx/OiBEjOPzww8nJyWH8+PHk5ORw4okn1kL0qStfUNt691JVjjzySEaMGMHGjRtp2bIlxcXF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\ntIi5jSktoTHVEPOtqBqu+ooWT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      "text/plain": [
       "<matplotlib.figure.Figure at 0x9d9fa90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1IPq1DsTDjetCTMt8EOJ2KKARYmd6HYc7yUqkpqiRdkcl6Fpjjuwqy8JZ+tLA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\nL1my+jfK7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c2HQ5RUODBbZPQMae2T41Zm22YZHeOimNvTe7SyOOrHo2ViH1oHHYkVSsCw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\njAQ0IYQQQog0IwFNCCGEECLN/D/9b2lmoem1EQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa460c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 对二手房区域分组对比二手房数量和每平米房价\n",
    "df_house_count = df.groupby('Region')['Price'].count().sort_values(ascending=False)\n",
    "df_house_mean = df.groupby('Region')['PriceMs'].mean().sort_values(ascending=False)\n",
    "\n",
    "#设置X轴刻度标签：\n",
    "def auto_xtricks(rects,xticks):\n",
    "    x = []\n",
    "    for rect in rects:\n",
    "        x.append(rect.get_x() + rect.get_width()/2)\n",
    "    x = tuple(x)\n",
    "    plt.xticks(x,xticks)\n",
    "\n",
    "#设置数据标签：\n",
    "def auto_tag(rects, data = None, offset = [0,0], size=14):\n",
    "    for rect in rects:\n",
    "        try:\n",
    "            height = rect.get_height()\n",
    "            plt.text(rect.get_x()+rect.get_width()/2.4, 1.01*height, '%s' % int(height), fontsize=size)\n",
    "        except AttributeError:\n",
    "            x = range(len(data))\n",
    "            y = data.values\n",
    "            for i in range(len(x)):\n",
    "                plt.text(x[i]+offset[0],y[i]+0.05+offset[1],y[i], fontsize='14')\n",
    "                \n",
    "def auto_tag_float(rects, data = None, offset = [0,0], size=14):\n",
    "    for rect in rects:\n",
    "        try:\n",
    "            height = rect.get_height()\n",
    "            plt.text(rect.get_x()+rect.get_width()/2.4, 1.01*height, '%s' % round(float(height),1), fontsize=size)\n",
    "        except AttributeError:\n",
    "            x = range(len(data))\n",
    "            y = data.values\n",
    "            for i in range(len(x)):\n",
    "                plt.text(x[i]+offset[0],y[i]+0.05+offset[1],y[i], fontsize='14')\n",
    "    \n",
    "plt.figure(figsize=(20,10))\n",
    "plt.rc('font', family='SimHei', size=13)\n",
    "plt.style.use('ggplot')\n",
    "\n",
    "# 各区域二手房数量对比\n",
    "plt.subplot(212)\n",
    "plt.title(u'各区域二手房数量对比', fontsize=20)\n",
    "plt.ylabel(u'二手房总数量（单位：间）', fontsize=15)\n",
    "rect1 = plt.bar(np.arange(len(df_house_count.index)), df_house_count.values, color='c')\n",
    "auto_xtricks(rect1, df_house_count.index)\n",
    "auto_tag(rect1, offset=[-1,0])\n",
    "\n",
    "# 各区域二手房平均价格对比\n",
    "plt.subplot(211)\n",
    "plt.title(u'各区域二手房平均价格对比', fontsize=20)\n",
    "plt.ylabel(u'二手房平均价格（单位：万/平米）', fontsize=15)\n",
    "rect2 = plt.bar(np.arange(len(df_house_mean.index)), df_house_mean.values, color='c')\n",
    "auto_xtricks(rect2, df_house_mean.index)\n",
    "auto_tag_float(rect2, offset=[-1,0])\n",
    "\n",
    "plt.figure(figsize=(10,10))\n",
    "plt.title(u'各区域二手房数量百分比', fontsize=18)\n",
    "explode=[0]*len(df_house_count)\n",
    "explode[0] = 0.2\n",
    "plt.pie(df_house_count, radius=3, autopct='%1.f%%', shadow=True, labels=df_house_count.index, explode=explode)\n",
    "plt.axis('equal')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 结论：\n",
    "- 二手房房数量：从数量统计上来看，可以看出目前二手房市场上比较火热的区域。朝阳区二手房数量最多，然后是海淀，毕竟大区，需求量也大。\n",
    "- 二手房均价：可以看出，西城区的房价最贵均价大约**11万/平**，因为西城在二环以里，且是热门学区房的聚集地。\n",
    " 其次是东城大约**10万/平**，然后是海淀大约**8.5万/平**。其它均低于**8万/平**。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 房价和房屋面积区段的二手房数量统计"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Dw4P4+HgyMzOLFLtadHQ00dHRAEyYMAFvb+8SOqobZzaby0Se+SmN3E+X6KcV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\nIiIiIiIiorxhsomIiIiIiIiIiPLmJynpEBgb7HVVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9b49dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 获取二手房总价的范围\n",
    "def get_price_range(price, base=100):\n",
    "    return '{0}-{1}'.format(int(price//base)*base, int(price//base)*base+base)\n",
    "\n",
    "# 获取二手房面积的范围\n",
    "def get_size_range(size, base=30):\n",
    "    return '{0}-{1}'.format(int(size//base)*base, int(size//base)*base+base)\n",
    "\n",
    "# 筛选房屋总价小于1000万的二手房信息进行统计\n",
    "df['GroupPrice'] = df['Price'].apply(get_price_range)\n",
    "df['GroupPriceSplit'] = df['GroupPrice'].str.extract('(\\d+)-\\d+', expand=False)\n",
    "df['GroupPriceSplit'] = df['GroupPriceSplit'].astype('int')\n",
    "sort_by_price_range = df.loc[df['GroupPriceSplit']<1000, ['GroupPrice','Price','GroupPriceSplit']]\n",
    "sort_by_price_range.set_index('GroupPrice', inplace=True)\n",
    "sort_by_price_range.sort_values(by='GroupPriceSplit', inplace=True)\n",
    "\n",
    "# 筛选房屋面积小于300万的二手房信息进行统计\n",
    "df['GroupSize'] = df['Size'].apply(get_size_range)\n",
    "df['GroupSizeSplit'] = df['GroupSize'].str.extract('(\\d+)-\\d+', expand=False)\n",
    "df['GroupSizeSplit'] = df['GroupSizeSplit'].astype('int')\n",
    "sort_by_size_range = df.loc[df['GroupSizeSplit']<300, ['GroupSize','Size','GroupSizeSplit']]\n",
    "sort_by_size_range.set_index('GroupSize', inplace=True)\n",
    "sort_by_size_range.sort_values(by='GroupSizeSplit', inplace=True)\n",
    "# display(sort_by_size_range)\n",
    "\n",
    "# 对房价和房屋面积分组\n",
    "df_group_price = sort_by_price_range.groupby('GroupPrice')['Price'].count()\n",
    "df_group_size = sort_by_size_range.groupby('GroupSizeSplit')['Size'].count()\n",
    "\n",
    "# 房价范围 vs 房屋数量可视化分析\n",
    "fig_group_pirce = plt.figure(figsize=(20,5))\n",
    "plt.subplot(121)\n",
    "plt.title(u'北京二手房房价/数量统计', fontsize=15)\n",
    "plt.xlabel(u'二手房房价区间(单位：万)', fontsize=15)\n",
    "plt.ylabel(u'二手房数量', fontsize=15)\n",
    "rect_group_price = plt.bar(np.arange(len(df_group_price.index)), df_group_price.values)\n",
    "auto_xtricks(rect_group_price, df_group_price.index)\n",
    "auto_tag(rect_group_price, offset=[-1,0])\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.title(u'北京二手房面积/数量统计', fontsize=15)\n",
    "plt.xlabel(u'二手房房屋面积区间', fontsize=15)\n",
    "plt.ylabel(u'二手房数量', fontsize=15)\n",
    "rect_group_size = plt.bar(np.arange(len(df_group_size.index)), df_group_size.values)\n",
    "auto_xtricks(rect_group_size, df_group_size.index)\n",
    "auto_tag(rect_group_size, offset=[-1,0])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 结论：\n",
    "- 在300至400万之间的二手房数量最多，其次是400-500万之间。可以看出主要的二手房房价集中在300-500万之间，整体呈现出类似正态分布的曲线。\n",
    "- 二手房房屋面积60-90平米之间的数量最多，为8441，远高出其它面积大小。其实是90-120平米，数量为5608。房屋面积集中在60-120之间，是大多数人的选择。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 西城 & 海淀 各地方二手房房价对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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41tgNGjRA27ZtAbwsPL3e38rW1lYsUMrl8jx9nsqXL4/du3dDoVDA29sbN2/exCeffAIA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\nSEhISEj8Iv8P40re9J7pxp0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9d34438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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WkWxtbamoqKC/v58jR47w9ttvk5KScuNNavUt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HHh4e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\nvbS1tanNd0a7X473Zc9o507JSN+3bx9z586lsrKSz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      "text/plain": [
       "<matplotlib.figure.Figure at 0xa696710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 筛选区域为西城和海淀的数据\n",
    "df_xicheng = df.loc[df['Region']=='西城']\n",
    "df_haidian = df.loc[df['Region']=='海淀']\n",
    "\n",
    "# 西城区个位置房价对比\n",
    "fig1 = plt.figure(figsize=(20,5))\n",
    "df_xicheng = df_xicheng.groupby('District')['PriceMs'].mean().sort_values(ascending=False)\n",
    "rect3 = plt.bar(np.arange(len(df_xicheng.index)), df_xicheng.values, color='c')\n",
    "plt.title(u'西城区各位置房价对比', fontsize=20)\n",
    "plt.ylabel(u'二手房平均价格（单位：万/平米）', fontsize=15)\n",
    "auto_xtricks(rect3, df_xicheng.index)\n",
    "auto_tag(rect3, offset=[-1,0], size=12)\n",
    "fig1.autofmt_xdate(rotation=45)\n",
    "\n",
    "# 海淀区个位置房价对比\n",
    "fig2 = plt.figure(figsize=(20,5))\n",
    "df_haidian = df_haidian.groupby('District')['PriceMs'].mean().sort_values(ascending=False)\n",
    "rect4 = plt.bar(np.arange(len(df_haidian.index)), df_haidian.values, color='c')\n",
    "plt.title(u'海淀区各位置房价对比', fontsize=20)\n",
    "plt.ylabel(u'二手房平均价格（单位：万/平米）', fontsize=15)\n",
    "auto_xtricks(rect4, df_haidian.index)\n",
    "auto_tag(rect4, offset=[-1,0], size=10)\n",
    "fig2.autofmt_xdate(rotation=45)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 结论：\n",
    "- 西城区平均房价接近11万一平，而最高的价格就是金融街了，平均14万一平，毕竟是黄金地段，金融的中心。其次西直门，德胜门也是好地段，均价13万一平，学区房附近。\n",
    "- 海淀区最好的房价是万柳区，平均13万一平，远高于其它地区，由于周围有好的学区。其次是中关村等地区平均约为11万一平，周围是各大互联网公司聚集地。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.机器学习预测北京二手房房价\n",
    "\n",
    "机器学习需要输入好的数据集，有意义的特征字段才能使得结果更加准确。\n",
    "\n",
    "北京二手房房价预测项目中的数据集的特征有：\n",
    "- **Size：**房屋面积，平方米\n",
    "- **Layout：**房间数，间\n",
    "- **Year: **房屋建造时间，年\n",
    "- **Floor: **房屋所处楼层，层\n",
    "- **Elevator: ** 是否有电梯\n",
    "- **Renovation: ** 是否是精装修，或者简装\n",
    "- **Region：**北京的区域\n",
    "目标变量：\n",
    "- **Price: **房屋人民币售价，万\n",
    "\n",
    "策略方法：\n",
    "- 使用**决策树**的回归模型对二手房房价进行分析预测\n",
    "- 使用**交叉验证**方法充分利用数据集进行训练，避免数据划分不均匀的影响。\n",
    "- 使用**GridSearchCV**方法优化模型参数\n",
    "- 使用**R2**评分方法对预测打分"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### - 数据清洗\n",
    "\n",
    "可以看到，数据集中的数据类型有文本，类目，数值等。由于需要将数据集作为输入给机器学习模型计算，而数据类型统一为数值型才能计算，因此将数据类型全部转换为数值类型，以很好的为机器学习模型服务。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "北京二手房房价有数据 12952 条，字段 8 个。\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Region</th>\n",
       "      <th>Layout</th>\n",
       "      <th>Floor</th>\n",
       "      <th>Elevator</th>\n",
       "      <th>Renovation</th>\n",
       "      <th>Year</th>\n",
       "      <th>Size</th>\n",
       "      <th>Price</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1988</td>\n",
       "      <td>60.0</td>\n",
       "      <td>705.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>19</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>2010</td>\n",
       "      <td>90.0</td>\n",
       "      <td>998.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>9</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>2003</td>\n",
       "      <td>161.0</td>\n",
       "      <td>1780.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>25</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>2002</td>\n",
       "      <td>127.0</td>\n",
       "      <td>1300.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1986</td>\n",
       "      <td>37.0</td>\n",
       "      <td>405.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Region Layout  Floor  Elevator  Renovation  Year   Size   Price\n",
       "1        1      2      6       0.0         1.0  1988   60.0   705.0\n",
       "4        1      2     19       1.0         1.0  2010   90.0   998.0\n",
       "8        1      3      9       1.0         1.0  2003  161.0  1780.0\n",
       "9        1      2     25       1.0         1.0  2002  127.0  1300.0\n",
       "10       1      1      5       0.0         1.0  1986   37.0   405.0"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 完善数据集，删除无意义特征，将特征数字化\n",
    "drop_out = ['Garden', 'Id', 'District', 'Direction']\n",
    "data = lianjia_df.drop(drop_out, axis=1)\n",
    "\n",
    "# 汉字到数字的映射字典\n",
    "loc_map = {'东城':1, '西城':2, '朝阳':3, '海淀':4, '丰台':5, '石景山':6, '通州':7, '昌平':8, '大兴':9, '亦庄开发区':10,\n",
    "           '顺义':11, '房山':12, '门头沟':13, '平谷':14, '怀柔':15, '密云':16, '延庆':17, '燕郊':18, '香河':19}\n",
    "renovation_map = {'简装':0, '精装':1, '其它':2}\n",
    "elevator_map = {'有电梯':1, '无电梯':0}\n",
    "\n",
    "# 数据集映射和清洗\n",
    "data['Region'] = data['Region'].map(loc_map)\n",
    "data['Renovation'] = data['Renovation'].map(renovation_map)\n",
    "data['Elevator'] = data['Elevator'].map(elevator_map)\n",
    "data['Layout'] = data['Layout'].str.extract('(^\\d).*', expand=False)\n",
    "data = data.dropna(how='any')\n",
    "\n",
    "# 重新排列字段\n",
    "columns1 = ['Region', 'Layout', 'Floor', 'Elevator', 'Renovation', 'Year', 'Size', 'Price']\n",
    "data = pd.DataFrame(data, columns=columns1)\n",
    "\n",
    "# 分配数据集-训练集和测试集\n",
    "prices = data['Price']\n",
    "features = data.drop('Price', axis = 1)\n",
    "print('北京二手房房价有数据 {0} 条，字段 {1} 个。'.format(*data.shape))\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### - 数据划分\n",
    "将数据集划分为训练集与测试集。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "# 转换训练测试集格式为数组\n",
    "features = np.array(features)\n",
    "prices = np.array(prices)\n",
    "\n",
    "# 导入sklearn进行训练测试集划分\n",
    "from sklearn.model_selection import train_test_split\n",
    "features_train, features_test, prices_train, prices_test = train_test_split(features, prices, test_size=0.2, random_state=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 建立模型\n",
    "通过**交叉认证**缓解数据集过拟合的现象。建立决策树回归模型，通过**GridSearchCV**找到最优深度参数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import KFold\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "from sklearn.metrics import make_scorer\n",
    "from sklearn.model_selection import GridSearchCV\n",
    "\n",
    "# 利用GridSearchCV计算最优解\n",
    "def fit_model(X, y):\n",
    "    \"\"\" 基于输入数据 [X,y]，利于网格搜索找到最优的决策树模型\"\"\"\n",
    "    \n",
    "    cross_validator = KFold(10, shuffle=True)\n",
    "      \n",
    "    regressor = DecisionTreeRegressor()\n",
    "    \n",
    "    params = {'max_depth':[1,2,3,4,5,6,7,8,9,10]}\n",
    "    \n",
    "    scoring_fnc = make_scorer(performance_metric)\n",
    "    \n",
    "    grid = GridSearchCV(estimator = regressor, param_grid = params, scoring = scoring_fnc, cv = cross_validator)\n",
    "\n",
    "    # 基于输入数据 [X,y]，进行网格搜索\n",
    "    grid = grid.fit(X, y)\n",
    "#     print pd.DataFrame(grid.cv_results_)\n",
    "    return grid.best_estimator_\n",
    "\n",
    "# 计算R2分数\n",
    "def performance_metric(y_true, y_predict):\n",
    "    \"\"\"计算并返回预测值相比于预测值的分数\"\"\"\n",
    "    from sklearn.metrics import r2_score\n",
    "    score = r2_score(y_true, y_predict)\n",
    "\n",
    "    return score"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 调参优化模型\n",
    "可视化模型学习曲线，观察是否出现过拟合问题。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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veo7WutruzjE4JCY/nX/ZdudaoKM7KW9/N8oSQoiYSV0MdLMuVkoNwxre+5ta6xZ7chPg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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xf344ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Ht/0NyskuP/TylDXRmWNndts+umrm2Jm9lrd4rdTtaP3+qFeNuypl/q4Zfw0n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\nxsZGNm/eTEtLC++++26X+xYXF6f8s5ruolcKxNu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      "text/plain": [
       "<matplotlib.figure.Figure at 0xc6165f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "最理想模型的参数 'max_depth' 是 8 。\n",
      "最优模型在测试数据上 R^2 分数 0.79。\n"
     ]
    }
   ],
   "source": [
    "import visuals as vs\n",
    "\n",
    "# 分析模型\n",
    "vs.ModelLearning(features_train, prices_train)\n",
    "vs.ModelComplexity(features_train, prices_train)\n",
    "\n",
    "optimal_reg1 = fit_model(features_train, prices_train)\n",
    "\n",
    "# 输出最优模型的 'max_depth' 参数\n",
    "print(\"最理想模型的参数 'max_depth' 是 {} 。\".format(optimal_reg1.get_params()['max_depth']))\n",
    "\n",
    "predicted_value = optimal_reg1.predict(features_test)\n",
    "r2 = performance_metric(prices_test, predicted_value)\n",
    "\n",
    "print(\"最优模型在测试数据上 R^2 分数 {:,.2f}。\".format(r2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### 结论\n",
    "\n",
    "- 可以看到，决策树回归模型的决策深度**大约为 8 **的时候可以达到偏差与方差的平衡，也即最优模型。\n",
    "- R2评分的准确率大约 **0.8**, 基本可以有效预测二手房房价。但是鉴于房价会受政策调控很大影响，因此预测结果仅供参考学习。\n",
    "\n",
    "## 总结\n",
    "本项目完成了从数据采集到数据分析，再到数据挖掘的整个数据处理过程，简单实现了北京二手房房价预测的需求。\n",
    "\n",
    "各个阶段还有很多内容可以丰富\n",
    "\n",
    "** - 数据采集部分：**\n",
    "- 爬取更多影响房价的字段信息；\n",
    "- 提高爬虫的爬取效率（尽管数据量不大）；\n",
    "- 采集更多房屋中间商数据，补充数据集；\n",
    "\n",
    "** - 数据分析部分：**\n",
    "- 需要更深入研究特征信息对目标值的影响；\n",
    "- 分析北京二手房房价的走势；\n",
    "- 分析北京二手房房价的供需趋势；\n",
    "\n",
    "** - 数据挖掘部分：**\n",
    "\n",
    "为了使得预测更加准确，还有很多优化的地方，包括：\n",
    "- 分析异常值，清除异常值或者填补异常值（随即森林拟合填补）；\n",
    "- 爬虫或其他途径寻找更多对房价有影响的特征，例如附近是否有学区房，是否靠近地铁；\n",
    "- 尝试其它更好模型，对比各个模型预测结果，选取最优模型；"
   ]
  }
 ],
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   "display_name": "Python 3",
   "language": "python",
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    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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 },
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